4.7 Article

The anisotropic line correlation function as a probe of anisotropies in galaxy surveys

Journal

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
Volume 453, Issue 1, Pages 797-809

Publisher

OXFORD UNIV PRESS
DOI: 10.1093/mnras/stv1602

Keywords

methods: statistical; large-scale structure of Universe

Funding

  1. STFC
  2. Science and Technology Facilities Council [1502020] Funding Source: researchfish

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We propose an anisotropic generalization of the line correlation function (ALCF) to separate and quantify phase information in the large-scale structure of galaxies. The line correlation function probes the strictly non-linear regime of structure formation and since phase information drops out of the power spectrum, the line correlation function provides a complementary tool to commonly used techniques based on two-point statistics. Furthermore, it is independent of linear bias as well as the Gaussian variance on the modulus of the density field and thus may also prove to be advantageous compared to the bispectrum or similar higher order statistics for certain cases. For future applications, it is vital, though, to be able to account for observational effects that cause anisotropies in the distribution of galaxies. Based on a number of numerical studies, we find that our ALCF is well suited to accomplish this task and we demonstrate how the Alcock-Paczynski effect and kinematical redshift-space distortions can in principle be measured via the ALCF.

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